Probability

Problem 1401

What is the probability a randomly selected baby has a slow heart rate (<100<100 bpm) and blue eyes? Simplify the fraction.

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Problem 1402

What is the probability a contestant lands on rainforest and gets a tent? Simplify the fraction.

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Problem 1403

What is the probability that a randomly selected competitor reacted in less than 0.3 seconds and was female, given 3 males and 5 females?

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Problem 1404

Tom has 5 red, 4 blue, and 3 yellow marbles. Find the probability of picking a blue marble and how many non-blue marbles to add for a 110\frac{1}{10} chance.

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Problem 1405

Find zz where 36% of a standard normal distribution is below zz and where 36% is above zz. Round to two decimal places.

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Problem 1406

Find the probability that a standard normal variable ZZ is between -0.67 and 1.67. Round to three decimal places.

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Problem 1407

Find the travel time xx such that 17.3% of Abby's 60 days have a travel time of at least xx, given mean 35.635.6 and SD 10.310.3.

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Problem 1408

What percent of the N(161.61,48.95)N(161.61,48.95) distribution is below 100? Round your answer to two decimal places.

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Problem 1409

Find the percentage of 2016 vehicles with better gas mileage than the 2016 VW Beetle's 28mpg28 \mathrm{mpg}, given mean 23.0mpg23.0 \mathrm{mpg} and SD 4.9mpg4.9 \mathrm{mpg}. Round to two decimal places.

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Problem 1410

Find the proportion of rainy days with pH\mathrm{pH} below 5.0, given a Normal distribution with mean 5.43 and SD 0.54.

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Problem 1411

Find the positive value of zz such that 95%95\% of the area under the standard normal curve is between z-z and zz, to two decimal places.

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Problem 1412

For a distribution N(5.43,0.54)N(5.43,0.54), find the proportion of observations less than 5.05 and 5.79, rounded to four decimal places.

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Problem 1413

Kaardipakist (52 kaarti) leia tõenäosus, et kaart on: a) poti, b) punane, c) pildikaart, d) paarisarv, e) soldat, f) risti äss.

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Problem 1414

- (c): Your answer is incorrect.
Suppose ZZ follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z>1.40)=0.919P(Z>-1.40)=0.919 (b) P(Z0.56)=0.288P(Z \leq-0.56)=0.288 (c) P(0.33<Z<1.94)=0.356P(0.33<Z<1.94)=0.356

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Problem 1415

A commercial building contractor will commit her company to one of three projects depending on her analysis of potential profits or losses as shown here. \begin{tabular}{c|c|c|c|c|c} \hline \multicolumn{2}{c|}{ Project A } & \multicolumn{2}{c}{ Project B } & \multicolumn{2}{c}{ Project C } \\ \hline Profit or Loss & Probability & Profit or Loss & Probability & Profit or Loss & Probability \\ x\mathbf{x} & P(x)\mathbf{P}(\mathbf{x}) & x\mathbf{x} & P(x)\mathbf{P}(\mathbf{x}) & x\mathbf{x} & P(x)\mathbf{P}(\mathbf{x}) \\ \hline$70,000\$ 70,000 & 0.12 & $0\$ 0 & 0.30 & $60,000\$ 60,000 & 0.53 \\ 180,000 & 0.65 & 240,000 & 0.26 & 320,000 & 0.47 \\ 210,000 & 0.23 & 270,000 & 0.44 & & \\ \hline \end{tabular}
Determine which project the contractor should choose according to the pessimist viewpoint. Project B Project C Project A

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Problem 1416

Probability Outcomes and event probability Almas
A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on Español the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[t]{2}{*}{} & \multicolumn{8}{|c|}{Outcomes} & \multirow{2}{*}{Probability} \\ \hline & EOO & EEE & OEE & EEO & OEO & EOE & 000 & OOE & \\ \hline \begin{tabular}{l} Event \\ A: An \\ even \\ number \\ on the \\ first roll \\ or the \\ third roll \\ (or \\ both) \end{tabular} & 0 & 0 & ○ & ○ & 0 & ○ & 0 & 0 & — \\ \hline \begin{tabular}{l} Event \\ B: Two or more odd numbers \end{tabular} & 0 & 0 & ○ & 0 & 0 & 0 & 0 & vv & — \\ \hline \begin{tabular}{l} Event \\ C: No \\ odd \\ numbers \\ on the \\ first two \\ rolls \end{tabular} & 0 & 0 & ○ & ○ & ○ & ○ & 0 & 0 & \square \\ \hline \end{tabular}

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Problem 1417

14
Uung the Venn Dragram below, the value of P(AUC) is?
a None of chorices
a 0.73 C 0.88 d. 032 e. a62a_{62}

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Problem 1418

Time
It mo evente are independent the special rulle of multiplication is used to fin Probability of their joint occurrence (2 maikk) 0 a. P(AP(A ind B)=P(A)×P(BA)B)=P(A) \times P(B \mid A) b. P(AB)=P(A)×P(B)P(AB)P(A \cup B)=P(A) \times P(B)-P(A \cap B) c None of the options are correct d P(AP(A and B)=P(A)×P(B)B)=P(A) \times P(B)

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Problem 1419

12. Table 2.2 shows the frequency of marks obtained by some students in a scholarship examination. Table 2.2 \begin{tabular}{|l|c|c|c|c|c|c|} \hline Mark & 1101-10 & 112011-20 & 213021-30 & 314031-40 & 415041-50 & 516051-60 \\ \hline Frequency & 3 & 5 & 11 & 14 & 10 & 7 \\ \hline \end{tabular} (a) Construct a cumulative frequency table and hence draw an ogive for the data. (b) From the ogive, estimate the: (i) Lower and upper quartiles (ii) Median (c) A three-digit number is formed at random using the digits 1,6 and 9. If no digit is repeated in any of the numbers, find the probability that the number formed is greater than 600 . (12 marks)

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Problem 1420

Below is a graph of a normal distribution with mean μ=4\mu=4 and standard deviation σ=2\sigma=2. The shaded region represents the probability of obtaining a value from this distribution that is between 2 and 5.
Shade the corresponding region under the standard normal curve below.

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Problem 1421

Topic III Anticipating Patterns: Probability and Simulation
41. Elaine is enrolled in a self-paced course that allows three attempts to pass an examination on the material. She does not study and has 2 out of 10 chances of passing on any one attempt by pure luck. What is Elaine's likelihood of passing, provided that she willhave three attempts to pass the exam? (Assume the attempts are independent because she takes a different exam at each attempt.) a. Explain how you would use a random digit table to simulate Elaine's attempts at the exam. Elaine will of course stop taking the exam as soon as she passes. 01=p25sing,2cl=failing,100 K0-1=p 25 s i n g, 2-c l=f a i l i n g, 100 \mathrm{~K} at e b. Simulate 10 repetitions using the random digits below. What is your estimate of Elaine's likelihood of passing the course? 59636888040463471197193527308984898457856256870206403250369971080225531148611776\begin{array}{llllllll} 59636 & 88804 & 04634 & 71197 & 19352 & 73089 & 84898 & 45785 \\ \hline 62568 & 70206 & 40325 & 03699 & 71080 & 22553 & 11486 & 11776 \end{array}

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Problem 1422

Consider the following demographic data for a hypothetical state. Assume everyone votes along party lines. The state has 16 representatives and a population of 8.4 million; party affiliations are 90%90 \% Democrat and 10%10 \% Republican. Complete parts (a) and (b) below. a. If districts were drawn randomly, what would be the most likely distribution of House seats? \square Republicans, \square Democrats

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Problem 1423

Conjectured impurity in wells is 30%30\%. If 6 wells are tested, find: a) P(exactly 3 impure) b) P(more than 3 impure).

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Problem 1424

What is the probability of drawing a red marble first from a jar with 3 red, 4 black, and 2 green marbles? (as a fraction)

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Problem 1425

What is the probability of drawing an orange marble first from a jar with 8 purple and 3 orange marbles?

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Problem 1426

What is the probability of drawing a purple marble after keeping one orange marble from a jar with 8 purple and 3 orange marbles?

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Problem 1427

Find the probability of drawing an orange marble and then a purple marble from a jar with 8 purple and 3 orange marbles.

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Problem 1428

What is the probability of being either a sophomore or junior if students are equally likely to be in any class? Options: 0.44, 0.50, 0.25, 0.625.

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Problem 1429

What is the probability that a student majors in either Performing Arts or Humanities? Options: 0.77, 0.26, 0.23, 1.00

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Problem 1430

What is the probability of a student being both a junior and a Business and Management major? Options: 0.25, 0.21, 0.87, 0.82.

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Problem 1431

What is the probability of drawing a 10 of hearts or a 10 of clubs from a 52-card deck?

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Problem 1432

Find the probability of rolling a 1 or 2 on a 6-sided die: 1/361 / 36, 1/31 / 3, 1/21 / 2, or 1/61 / 6?

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Problem 1433

An unbiased coin is tossed. What is the probability of getting (a) heads, (b) tails? Use P(H)=12P(H) = \frac{1}{2} and P(T)=12P(T) = \frac{1}{2}.

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Problem 1434

A fair six-sided die is rolled. Find the probability of getting: (a) a '4', (b) a '1' or '6', (c) a prime number, (d) a multiple of 10.

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Problem 1435

A box has 6 blue, 8 green, and 7 red cards. Find the probabilities: (a) red, (b) not green, (c) yellow.

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Problem 1436

A Boeing 777-300 has 4 First, 48 Business, 28 Premium economy, and 184 Economy seats. Find the probability that a random passenger (i) is in Premium economy and (ii) is not in Business class.

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Problem 1437

What is the probability that a wo-digit number selected at random will be a multiple of 5 and not a multiple of 3? A. 3/173 / 17 B. 2/15 10 99\geqslant 99 C. 4/214 / 21 D. 5/195 / 19

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Problem 1438

Digitalis is a technology company that makes high-end computer processors. Their newest processor, the luteA, is going to be sold directly to the public. The processor is to be sold for $3900\$ 3900, making Digitalis a profit of $547\$ 547. Unfortunately there was a manufacturing flaw, and some of these luteA processors are defective and cannot be repaired. On these defective processors, Digitalis is going to give the customer a full refund. Suppose that for each luteA there is an 11%11 \% chance that it is defective and an 89%89 \% chance that it is not defective. (If necessary, consult a list\underline{l i s t} of formulas.)
If Digitalis knows it will sell many of these processors, should it expect to make or lose money from selling them? How much?
To answer, take into account the profit earned on each processor and the expected value of the amount refunded due to the processor being defective. Digitalis can expect to make money from selling these processors. In the long run, they should expect to make \square dollars on each processor sold. Digitalis can expect to lose money from selling these processors. In the long run, they should expect to lose \square dollars on each processor sold. Digitalis should expect to neither make nor lose money from selling these processors.

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Problem 1439

Find the mean, variance, and standard deviation for each of the values of nn and pp when the conditions for the binomial distribution are met. Round your answers to three decimal places as needed.
Part 1 of 4 (a) n=13,p=0.67n=13, p=0.67
Mean: μ=8.710\mu=8.710 Variance: σ2=2.873\sigma^{2}=2.873 Standard deviation: σ=1.695\sigma=1.695
Part 2 of 4 (b) n=1080,p=0.09n=1080, p=0.09  Mean: μ=97.2 Variance: σ2=88.452 Standard deviation: σ=9.405\begin{aligned} \text { Mean: } \mu & =97.2 \\ \text { Variance: } \sigma^{2} & =88.452 \\ \text { Standard deviation: } \sigma & =9.405 \end{aligned}
Part: 2/42 / 4
Part 3 of 4 (C) n=590,p=0.23n=590, p=0.23  Mean: μ= Variance: σ2= Standard deviation: σ=\begin{aligned} \text { Mean: } \mu & =\square \\ \text { Variance: } \sigma^{2} & =\square \\ \text { Standard deviation: } \sigma & =\square \end{aligned}

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Problem 1440

Assignment 6a Question 10 of 10 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:15:00 =1=1 =2=2 3 5 6\equiv 6 =7=7 =8=8 10
Family Farming A family owns a large farm. The probability that they plant 5,6,75,6,7, or 8 field sections in a season is 0.28,0.36,0.40.28,0.36,0.4, and -0.04 , respective Find the expected value for the field sections planted.
The expected value is \square field sections planted.

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Problem 1441

Random Variables and Distributions Standard normal values: Basic
Suppose ZZ follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of cc so that the following is true. P(Zc)=0.1379P(Z \leq c)=0.1379
Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. \square

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Problem 1442

ne two fair spinners below each have four equal sections. The diagram shows every possible total whe the results from the two spinners are added together.
What is the probability of the total being 7 ? Give your answer as a fraction.

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Problem 1443

4. You pick a card and flip a coin. What is the probability you choose a vowel and the coin lands on a tail? Cards Coin A,B,C,E,O,XA, B, C, E, O, X Quarter

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Problem 1444

Part 2 of 3 (b) What is the range of the values of the probability of an event? Do not express as percentages.
The range of values is \square to \square inclusive.

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Problem 1445

Español
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[t]{2}{*}{} & \multicolumn{8}{|c|}{Outcomes} & \multirow{2}{*}{Probability} \\ \hline & TIT & TTH & THH & HTT & HHT & HTH & THT & HHH & \\ \hline Event A: A tail on both the first and the last tosses & ○ & ○ & ○ & ○ & ○ & ○ & & ○ & \square \\ \hline Event B: Exactly one head & & & & & & & & & \square \\ \hline Event C: A head on each of the last two tosses & 0 & & & ○ & ○ & ○ & ○ & ○ & \square \\ \hline \end{tabular}

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Problem 1446

A dartboard has 8 equally sized slices numbered from 1 to 8 . Some are grey and some are white. The slices numbered 1,2,3,4,6,71,2,3,4,6,7, and 8 are grey. The slice numbered 5 is white. A dart is tossed and lands on a slice at random. Let XX be the event that the dart lands on a grey slice, and let P(X)P(X) be the probability of XX.
Let not XX be the event that the dart lands on a slice that is not grey, and let P(notX)P(\operatorname{not} X) be the probability of not XX.

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Problem 1447

If two dice are rolled one time, find the probability of getting these results. Enter your answers as fractions or as decimals rounded to 3 decimal places.
Part 1 of 4 (a) A sum of 7 P( sum of 7)=16P(\text { sum of } 7)=\frac{1}{6}
Part 2 of 4 (b) A sum of 12 or 11 P(P( sum of 12 or 11)=112)=\frac{1}{12}
Part 3 of 4 (c) Doubles P(P( doubles )=0.167)=0.167
Part: 3 / 4
Part 4 of 4 (d) A sum greater than or equal to 5 P(P( sum greater than or equal to 5)=)= \square

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Problem 1448

Motor Vehicle Accidents During a recent year, there were 12.1 million automobile accidents, 4.8 million truck accidents, and 178,000 motorcycle accidents. Find the following probabilities. Enter your answers as fractions or decimals rounded to 3 decimal places.
Part 1 of 2 (a) If one accident is selected at random, find the probability that it is either a truck or motorcycle accident. P(P( truck or motorcycle accident )=)= \square
Part 2 of 2 (b) If one accident is selected at random, find the probability that it is not a truck accident. P(P( not truck accident )=)= \square

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Problem 1449

Вариант 48 Задача 1 Случайые X1,,X2nX_{1}, \ldots, X_{2 n} независимы. Также известио, что М Xi=(1)n,DX1=21,i{1,2n}X_{i}=(-1)^{n}, \mathrm{D} X_{1}=2^{-1}, i \in\{1 \ldots \ldots, 2 n\}. Положим Sn=n12nXnS_{n}=\sum_{n-1}^{2 n} X_{n}. С помошью неравенства Чебышёва оценить веролтности P(Sn214n)\mathrm{P}\left(\left|S_{n}\right| \geqslant 2 \sqrt{1-4^{-n}}\right) и P(Sn<214n)\mathrm{P}\left(\left|S_{n}\right|<2 \sqrt{1-4^{-n}}\right).

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Problem 1450

According to a report by CBS News, 25.8%25.8 \% of seniors between 65 and 74 years old still work. a. When 10 seniors between 65 and 74 are randlomly selected, find the probability that exactly 2 of them still work. \square (Round to four decimal places, if possible) b. When 10 seniors between 65 and 74 are randlomly selected, find the probability that at least 5 of them still work. \square (Round to four decimal places, if possible)

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Problem 1451

Calculate the probability of randomly selecting a pediatrician from the hospital staff. P(pediatrician)=P(\text{pediatrician}) =

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Problem 1452

Find the probability that a randomly chosen prisoner takes no classes, given the prisoner counts: 449 (under 30) and 360 (30 and over). Round to three decimal places.

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Problem 1453

Given data on prisoners by age and courses taken, find:
1. The probability a prisoner takes no classes.
2. The probability a prisoner is under 30 and takes high school or college classes.

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Problem 1454

Choose a prisoner at random. Find these probabilities rounded to three decimal places:
1. Probability of not taking classes: 0.781
2. Probability of being under 30 and taking high school or college classes: 0.160

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Problem 1455

Find the probability that a randomly selected patient had exactly 3 tests done, given the test distribution for 32 patients.

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Problem 1456

A hospital has 4 MDs and 1 DO in Pathology. Find the probability of randomly selecting a pathologist as a fraction or decimal.

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Problem 1457

Find the probabilities:
1. Probability a randomly chosen doctor is a pathologist: P(pathologist)=0.128P(\text{pathologist})=0.128.
2. Probability a randomly chosen doctor is a pediatrician or a Doctor of Osteopathy.

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Problem 1458

Determine if events A (coin toss heads) and B (number cube roll is 4) are independent or dependent in this experiment.

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Problem 1459

A box has chocolates with nuts and cherries. Find the probability of Event A (first chocolate has nuts) and Event B (second has cherries).

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Problem 1460

Find the probabilities of selecting marble 2 first and marble 5 second from a bag with an unknown number of marbles.

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Problem 1461

A hospital has 4 pathologists, 11 pediatricians, and 23 orthopedists. Find the probability of selecting a pathologist and a pediatrician or a doctor of osteopathy.

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Problem 1462

Calculate the probability that a randomly chosen doctor is a pediatrician or a Doctor of Osteopathy, given P(pathologist)=0.128P(\text{pathologist})=0.128.

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Problem 1463

For many years, organized crime ran a numbers game that is now run legally by many state governments. The player selects a three-digit number from 000 to 999 . There are 1000 such numbers. A bet of $4\$ 4 is placed on a number, say number 115. If the number is selected, the player wins $2500\$ 2500. If any other number is selected, the player wins nothing. Find the expected value for this game and describe what this means.
The expected value of the numbers game is \ \square$ . (Round to the nearest cent.)

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Problem 1464

In rolling two fair six sided dice and adding the number appearing on each face, what is the probability that the number is a multiple of 4 ?
1. 12\frac{1}{2} (2) 29\frac{2}{9} 31123 \frac{1}{12} 4144 \frac{1}{4}

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Problem 1465

Children's Obesity The following information shows the percentage of children who are obese for 3 age groups: \begin{tabular}{|c|c|} \hline Age & Percent \\ \hline 353-5 & 9.5 \\ \hline 6116-11 & 17.5 \\ \hline 121912-19 & 18.2 \\ \hline \end{tabular}
If a child is selected at random, find each probability.
Part: 0/20 / 2 \square
Part 1 of 2 (a) If you select a 3-5 year old child, the child is obese.
The probability is \square \%.

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Problem 1466

4.99 ALEKS www-awa.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNsIkr7j8P3jH-IBgucpIG1tT6kRBabGFF3MoAkZ_UVx0N2O2gj_rnanaokTTH5DkL2d5v0LUaS1SKOKqSfrDfSASKtcqJaF... كل الإشارات المرجعين Google Translate News Maps YouTube Probability Outcomes and event probability 0/5 Mayar Español
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline & \multicolumn{8}{|c|}{Outcomes} & \multirow[b]{2}{*}{Probability} \\ \hline & HHH & THH & TH & πT\pi T & HTH & HTT & HHT & THT & \\ \hline Event A: Two or more tails & \square & \square & \square & \square & \square & \square & \square & \square & \\ \hline Event B: More tails than heads & \square & \square & \square & \square & \square & \square & \square & \square & — \\ \hline Event C: No tails on the first two tosses & \square & \square & \square & \square & \square & \square & \square & \square & \square \\ \hline \end{tabular}  Fixplanation \sqrt{\text { Fixplanation }} Check (9) 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility

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Problem 1467

www-awa.aleks.com/alekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3jH-IBgucpIG1tT6kRBabGFF3MoAkZ_UVx0N2O2gj_rा كل الإشارات الا SCFHS = تسجيل الدخول إنشاء Apple ID الخا... مارستى منصة سطر التعليمية Probability Determining a sample space and outcomes for an event: Experiment... ? QUESTION A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling the number 2 or 5 . If there is more than one element in the set, separate them with commas.
Sample space: \square Event of rolling the number 2 or 5 : \square EXPLANATION

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Problem 1468

27. The chance that an phone is defective is 3%3 \%. If 50 phones are chosen at random. What is the probability that 4 are defective?

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Problem 1469

12. Deux chiffres (de 0 à 9 inclusivement) sont choisis indépendamment et au hasard. Détermine la probabilité qu'ils totalisent 10.

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Problem 1470

2. A single die is rolled twice. The set of 36 equally likely outcomes are given as follows: {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}\begin{array}{l} \{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6) \\ (3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6) \\ (5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\} \end{array}
Find the probability of the sum of two faces is equal to 3 or 4 ?

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Problem 1471

Find the proportion of bass fish lengths between 7.1 and 15.9 inches, given mean = 11.5 and SD = 2.2. Choices: A. 0.997 B. 0.95 C. 0.68 D. 0.815

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Problem 1472

What is the probability that a General Manager works at a seafood restaurant, expressed as P(SG)P(S \mid G)?

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Problem 1473

Find the probability that a student studies daily given they passed the math test: P(SM)P(S | M).

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Problem 1474

What defines an event in probability? Choose the correct answer: all outcomes, a subset, a planned activity, or a single execution.

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Problem 1475

Find the probability of a cancer patient having elective surgery given they received chemotherapy: P(EC)P(E|C).

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Problem 1476

What is a trial in Arianna's 10 rolls of a die? Options: one roll, at least one 5, ten rolls, or sum of 40?

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Problem 1477

Find the probability of drawing a 7 from a standard 52-card deck. Express your answer as a fraction.

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Problem 1478

Find the probability of exactly 5 Mexican-Americans among 12 jurors: P(x=5)=P(x=5)=. Also, find P(x5)=P(x \leq 5)=. Round to four decimal places.

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Problem 1479

At a university, 50% of students play volleyball. What is the probability a random student plays or doesn't play?

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Problem 1480

There are 150 new employees divided into groups A, B, C, D, and E with 30 each. Find P(C)P(C) for group C.

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Problem 1481

Flights from Miami to NYC are delayed 27%27\% of the time. How likely is a flight delay for a traveler?

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Problem 1482

Find the probability of a student taking yoga or pilates given: P(yoga) = 0.70, P(pilates) = 0.60, P(yoga and pilates) = 0.51.

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Problem 1483

What is the probability that Sam chooses either the day shift or the night shift if P(day) = 0.9 and P(night) = 0.03?

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Problem 1484

Find the probability of a student living off campus given that P(cafeteria and off campus) = 0.07 and P(cafeteria | off campus) = 0.20.

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Problem 1485

Find the probability that a student is a business major given that the probability of being in a statistics course is 0.29 and 0.67. Round to three decimal places.

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Problem 1486

A police officer gives a warning with probability 0.03 and a ticket or warning with probability 0.52. Find the ticket probability.

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Problem 1487

Find the probability of either event AA or event BB occurring, given P(A)=0.22P(A)=0.22 and P(B)=0.42P(B)=0.42.

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Problem 1488

Find the probability that a child requests a toy and watches cartoons, given P(A)=0.56P(A) = 0.56 and P(BA)=0.89P(B|A) = 0.89. Answer as a percent.

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Problem 1489

If AA and BB are independent with P(A)=0.60P(A)=0.60 and P(A AND B)=0.30P(A \text{ AND } B)=0.30, find P(B)P(B) as a percent.

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Problem 1490

At a party with 130 students, 35 speak French, 50 speak English, 28 speak only English, and 13 speak only French. Find the probability a randomly selected student speaks both languages.

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Problem 1491

Find P(B)P(B) given P(A)=0.3P(A)=0.3, P(A OR B)=0.63P(A \text{ OR } B)=0.63, and P(A AND B)=0.17P(A \text{ AND } B)=0.17.

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Problem 1492

The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been observed to be predictable largely on the basis of the weather on the previous day. Specifically:
- if it is sunny on one day, it will be sunny the next day 13\frac{1}{3} of the time, and be cloudy the next day 23\frac{2}{3} of the time - if it is cloudy on one day, it will be sunny the next day 23\frac{2}{3} of the time, and be cloudy the next day 16\frac{1}{6} of the time - if it is rainy on one day, it will be sunny the next day 16\frac{1}{6} of the time, and be cloudy the next day 13\frac{1}{3} of the time
Using 'sunny', 'cloudy', and 'rainy' (in that order) as the states in a system, set up the transition matrix for a Markov chain to describe this system.
Use your matrix to determine the probability that it will rain on Thursday if it is sunny on Sunday.
P=[000000000]P=\left[\begin{array}{lll} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}\right]
Probability of rain on Thursday =0=0

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Problem 1493

F24 7.7 Probability Alyssa Villa 12/16/249:54 PM Question 5, 7.7.39 HW Score: 28.57%,428.57 \%, 4 of 14 points Points: 0 of 1 Save
The table gives the results of a survey of freshmen from the class of 2006 at a number of colleges and universities. Number of Colleges Applied To Percent (as a decimal) Using the percents as probabilities, find the probability of the event for a randomly selected student: the student applied to more than 3 colleges.
The probability that a randomly selected student applied to more than 3 colleges is

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Problem 1494

A bag contains 7 red marbles, 3 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be red?

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Problem 1495

What is the probability of tossing a coin 5 times and having it land tails-side-up 4 of the 5 times? 7.8 \%
80 \% 20 \% 1.6 \% TV Kickery

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Problem 1496

A teacher is analyzing the class results for a physics test. The marks are normally distributed with a mean ( μ\mu ) of 76 and a standard deviation (s) of 4. Determine Shondra's mark if she scored μ+s\mu+\mathrm{s}. 1) 72 2) 80 3) 68 4) 84

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Problem 1497

Normal Distribution - Empirical Rule Score: 3/8 Penalty: 1 off
Question Watch Video Show Examples
When Ariana goes bowling, her scores are normally distributed with a mean of 115 and a standard deviation of 11 . Using the empirical rule, what percentage of the games that Ariana bowls does she score between 93 and 137 ?

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Problem 1498

A spinner has sections 1, 2, and 3. Answer these:
1. Count favorable outcomes.
2. Sample space S={1,2,3}S=\{1,2,3\}.
3. Count total outcomes.
4. Fraction favorable? (e.g., 1/21 / 2).
5. Fraction unfavorable? (e.g., 1/21 / 2).

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Problem 1499

\qquad \qquad =n12kxyˉ=+AF=55=P(AB)P(B)\begin{array}{l} \Rightarrow=\sqrt{n-12 k-x} \\ \bar{y}=\infty+A F \\ =\frac{5}{5} \\ =\frac{P(A \cap B)}{P(B)} \end{array} Stay false is 0.63 . Assume the player will be given five truelfalse statements let the random and the classifications of the statements (true or false) are independent, five attempts. The variable C represent the number of times a player probability distribution of CC is given in the table. \begin{tabular}{c|c|c|c|c|c|c} CC & 0 & 1 & 2 & 3 & 4 & 5 \\ \hlineP(C)P(C) & 0.0069 & 0.0590 & 0.2010 & 0.3423 & 0.2914 & 0.0992 \end{tabular} greater than the mean? A) 0.0992 B) 0.2914 C) 0.3423 D) 0.3906 E) 0.7329

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Problem 1500

3. If two coins are flipped, what is the probability of getting at least one head?

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